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-4) a composite number? False Suppose -977 = 5*s - 3*p, -5*s - 395 = -3*s + 3*p. Let i be (223/1 - -3) + 3/(-1). Let f = i - s. Is f a prime number? True Suppose -3*c + 5*w + 37212 = 0, 26*w + 12382 = c + 28*w. Is c a prime number? False Suppose 0 = -2*f + 3*f - 13. Suppose f*p + 23 = 62. Suppose j + 3*u = 1709, p*u + ...
{ "pile_set_name": "DM Mathematics" }
est to -2/7? (a) l (b) -2 (c) -3/4 c Let s = -1.9 - -2. Let u = 1155.95 - 1156. Let z = 32.6 + -33. Which is the nearest to s? (a) u (b) z (c) -2/3 a Let q be (-1)/22 + (-5883)/(-13992). Let k = 0.05 + 0.2. Let i = k + -0.05. Which is the closest to i? (a) -3/5 (b) q (c) 4 b Let f = 4 + -2. Let r(l) = -183*l -...
{ "pile_set_name": "DM Mathematics" }
- 16/3*u**3 + 0 = 0. Calculate u. -1, -2/7, 0 Let t be ((-16)/10)/(18/(-45)). Suppose -10 + t*c - 2/5*c**2 = 0. What is c? 5 Let c(j) be the first derivative of 3*j**4/16 - j**3/8 - j**2/4 + 6*j + 3. Let t(v) be the first derivative of c(v). Determine k so that t(k) = 0. -1/3, 2/3 Let l(b) = 27*b**3 + 141*b**2 + 124*b ...
{ "pile_set_name": "DM Mathematics" }
1609902 (b) -4/7 (c) 0.1 c What is the nearest to 1/26 in -0.4, -4, -2.07, -8, -0.1? -0.1 What is the nearest to -535 in -1, -1/9, 63, -5/4, 1? -5/4 Which is the closest to -2? (a) 211 (b) 1/18 (c) -1 (d) 2 (e) 1 c What is the nearest to 0 in -80.91, 10, -60? 10 What is the nearest to -3/4 in -145/3, 22, -0.9? -...
{ "pile_set_name": "DM Mathematics" }
n ascending order. -23, -0.3, -0.0674, 2, 4 Sort 2, -162, -98 in increasing order. -162, -98, 2 Sort -51360, -4, -3, 1. -51360, -4, -3, 1 Sort 5, 0.2, 2/693, -2/7. -2/7, 2/693, 0.2, 5 Put -0.086, 0, -1, 5, 2 in descending order. 5, 2, 0, -0.086, -1 Sort -66, 4, -5, -4, -2 in ascending order. -66, -5, -4, -2, 4 Sort -2,...
{ "pile_set_name": "DM Mathematics" }
0 for m. 41 Solve 664*d + 323*d - 223351 + 91093 = 0 for d. 134 Solve -166 - 184 + 1080 = 31*s - 1099 for s. 59 Solve 231*g - 485*g = 360*g + 34998 for g. -57 Solve -173979 - 22386 = 3021*n for n. -65 Solve -40411 - 20682 + 7281 = 4892*j for j. -11 Solve 2020*j - 444*j + 291*j = -78414 for j. -42 Solve 1736 = -83848*z ...
{ "pile_set_name": "DM Mathematics" }
+ 18 = -p, 42 = 5*o + 2*p - 3*p - 99 + 129 for o. 2 Solve -10 = -4*i - 10*f, -8*f = 47*i - 48*i - 6*f - 11 for i. -5 Solve 2*y + 5*b - 1445 = -1354, -2237 = -39*y - 5*b for y. 58 Solve 213*i + 4*h - 26 - 2 = 210*i, -4*h = -5*i + 4 for i. 4 Solve -10*v + 12*v + 42*l = -2*v - 8, 3*v = 4*l - 6 for v. -2 Solve -o - l - 4 =...
{ "pile_set_name": "DM Mathematics" }
ase 2? 100001101000111011110 -100223212 (base 4) to base 12 -3365a What is 1122012312 (base 4) in base 6? 11524410 What is -10010001100000110011 (base 2) in base 16? -91833 What is -311131143 (base 5) in base 6? -43123154 What is -c713 (base 13) in base 6? -331335 -42245251 (base 6) to base 4 -10231200133 Convert 58b06...
{ "pile_set_name": "DM Mathematics" }
+ 20. Suppose -14 = -o + 3*o. Is j(o) prime? True Let v be 36/10 + (-2)/(-5). Suppose 2*c = -v*n + 694, -5*n + 2*n = 5*c - 1735. Is c a prime number? True Suppose 4*x - 3*x = 3*a - 23, 4*a + 5*x - 18 = 0. Suppose 249 + 10 = a*g. Is g prime? True Suppose -n = -2*s - 2 - 1, -3*n - s = 19. Is 25/n - -40 - (0 + -4) prime?...
{ "pile_set_name": "DM Mathematics" }
ix dps. -0.000002 Let y = 0.2 + -0.202. Let u = y + 0.01. Round u to 2 dps. 0.01 Let z = 69469237818.062524799 - 69469237870. Let a = z + -0.062529399. Let j = a - -52. Round j to six decimal places. -0.000005 Let m = 42.1 - 5.9. What is m rounded to the nearest integer? 36 Let z = -0.13 - -0.1299956. Round z to six de...
{ "pile_set_name": "DM Mathematics" }
5? 3/2 What is the nearest to 0 in -0.3, 847, 4? -0.3 What is the nearest to -1 in -0.1, 35, -0.3? -0.3 What is the nearest to -0.1 in -3, 54, -1/6? -1/6 What is the nearest to -28/37 in -2/7, -1, 2? -1 Which is the nearest to -2/7? (a) -0.5 (b) -0.4 (c) -1.77 b Which is the closest to -34? (a) 0.5 (b) -5/3 (c) -...
{ "pile_set_name": "DM Mathematics" }
7 What is the thousands digit of 276623266? 3 What is the tens digit of 1237753576? 7 What is the ten millions digit of 91625404? 9 What is the units digit of 72029289? 9 What is the thousands digit of 329457414? 7 What is the hundred millions digit of 563655914? 5 What is the thousands digit of 97503686? 3 What is the...
{ "pile_set_name": "DM Mathematics" }
v**2 + 17*v**3 wrt v? 24 Let i = -2 + 2. Find the third derivative of 13*o**2 - 3*o**4 + i*o**4 - 7*o**2 wrt o. -72*o What is the third derivative of 0*c**3 + 0*c**2 - 4*c**2 - 2*c**3 + c**2 wrt c? -12 Suppose 0 = 5*j - j. Find the third derivative of j*f**6 + 2*f**2 + 2*f**6 + 0*f**6 wrt f. 240*f**3 Let b(a) = a**2 - ...
{ "pile_set_name": "DM Mathematics" }
29*w - 101160 = 0. What is w? 3, 40, 281 Determine n, given that -2*n**3 + 60480*n**2 - 241896*n + 241888 = 0. 2, 30236 Factor 303*f**2/5 - 344*f/5 - 524/5. (f - 2)*(303*f + 262)/5 Factor -11547*t**2/2 - 5776*t - 5/2. -(t + 1)*(11547*t + 5)/2 Suppose 2*y**4/3 - 216*y**3 + 50500*y**2/3 + 107800*y + 90750 = 0. Calculate ...
{ "pile_set_name": "DM Mathematics" }
nearest integer? -192 What is -458.8635 rounded to 1 decimal place? -458.9 Round -1768 to the nearest ten. -1770 Round -0.0011260918 to five decimal places. -0.00113 Round 1237663 to the nearest ten thousand. 1240000 Round 0.09001454 to three decimal places. 0.09 What is -0.0049989814 rounded to 3 dps? -0.005 What is ...
{ "pile_set_name": "DM Mathematics" }
t from euupuuuepeeuuupuuupu. Give prob of sequence uu. 33/95 Four letters picked without replacement from uhuhhhuph. What is prob of sequence uuhp? 5/504 What is prob of sequence sglg when four letters picked without replacement from {k: 1, l: 1, s: 4, g: 2, p: 3}? 1/990 Three letters picked without replacement from {f...
{ "pile_set_name": "DM Mathematics" }
- 100*v**3 - 10*v to the form g + h*v**2 + m*v**3 + k*v and give g. -33 Express -1220*f + 2*f**2 + 28 - 1228*f + 2448*f in the form p + c*f**2 + j*f and give j. 0 Express 1350*q - 907*q - 745*q as x*q + p and give x. -302 Express (-42*w + 44*w - 7 - 13)*(-4*w**2 - 2*w**2 + 4*w**2)*(2 + 4 - 1 + (-1 - 1 + 4)*(-1 + 0 + 0)...
{ "pile_set_name": "DM Mathematics" }
2)? -28 (-1408)/(-384)*(-9)/15 -11/5 What is (287/((-61992)/(-3600)))/((-5)/(-4))? 40/3 What is -52*14/(-20)*((-6)/36)/(35/(-30))? 26/5 ((-5)/(525/10)*-6)/(-55*62/(-2387)) 2/5 (122/(-305))/(((456/(-400))/19)/(1*-6)) -40 What is the value of 12/22*(1367718/(-212))/51? -69 Calculate (-5)/(-14)*504/840*9/((-108)/(-32)). 4...
{ "pile_set_name": "DM Mathematics" }
-123100 In base 3, what is 10021000 + -100012? 2220211 In base 11, what is -6637 + 1? -6636 In base 3, what is -22102102222 - 11? -22102110010 In base 10, what is -45155 - 35? -45190 In base 16, what is 2 - 3de4e? -3de4c In base 12, what is -2897 + 17? -2880 In base 4, what is -3 + 101002? 100333 In base 10, what is -...
{ "pile_set_name": "DM Mathematics" }
+ d*m**2 + c*m + z and give z. -1 Express -4775*i**3 + 48 + 4777*i**3 + 81*i + 19*i**2 - 50 in the form u*i**3 + a*i + z*i**2 + h and give h. -2 Express (0*g - 3*g + 4*g)*(6*g - 2*g - g + (232 - 232 + 168*g)*(-3 - 1 + 5)) as b + q*g + h*g**2 and give h. 171 Express 79*s**4 + 2*s**3 - 252*s**4 - 3 + 81*s**4 + 2*s - 9*s*...
{ "pile_set_name": "DM Mathematics" }
0, 2*z = -4*h - 56 for z. -2 Solve 3*p - 12 = -3*d, -380*d = -4*p - 377*d + 37 for p. 7 Solve 5 = -4*v - 5*k, 0 = -48*v + 44*v + 4*k + 40 for v. 5 Solve 3*f - 10502 = -3*a - 10544, f - 22 = a for a. -18 Solve 3*t + 9 = 9*x - 14*x, -23 = -13*t - x for t. 2 Solve 5*u = 3*b + 59, -4*b + 4*u + 2157 = 2233 for b. -18 Solve ...
{ "pile_set_name": "DM Mathematics" }
= g - 2. Give w(f). 6 Let i(g) = -2*g + 1. Let b = -26 + 32. Determine i(b). -11 Let u(q) = -q. Let h = 16 - 20. Let l be 4*1/4*-5. Let r(o) = o + 1. Let p(s) = h*u(s) + l*r(s). What is p(4)? -9 Let n(f) = 2*f**2. Let a(t) = 2*t + 3*t - 7*t + t - 5. Let g be a(-4). What is n(g)? 2 Let j(q) = 0*q + 0 - q + 1. Let i be ...
{ "pile_set_name": "DM Mathematics" }
uppose y - 85 = -80. Which is the closest to -0.7? (a) -1/5 (b) -5 (c) y a Suppose -4*m + 4 = -0*m. Let b be (-132)/21 + 6 + (-12)/105. What is the nearest to m in b, -1/3, -3? -1/3 Let y be 45/7 - (0 + 7). Which is the closest to y? (a) 3/4 (b) 5 (c) 5/6 a Let h = 3.14 - 11.14. Which is the closest to 3/4? (a) ...
{ "pile_set_name": "DM Mathematics" }
ivative of -350*f**3 - 16*f**2 + 2589*f wrt f? -2100*f - 32 Differentiate 3*m**2*u + 13509*m**2 - 78901*m*u**2 - 7*m - 2 wrt u. 3*m**2 - 157802*m*u Find the third derivative of 418*l**4*v + l**4 - l**3*v - 23*l**3 + 186*l**2*v - 7*l**2 - 9*l*v - 3*v - 4 wrt l. 10032*l*v + 24*l - 6*v - 138 Differentiate -68691*d**2 - 29...
{ "pile_set_name": "DM Mathematics" }
ctors of 134500? 2, 5, 269 What are the prime factors of 933? 3, 311 List the prime factors of 14. 2, 7 List the prime factors of 7082. 2, 3541 List the prime factors of 2962. 2, 1481 List the prime factors of 15290. 2, 5, 11, 139 What are the prime factors of 872? 2, 109 What are the prime factors of 10569? 3, 13, 271...
{ "pile_set_name": "DM Mathematics" }
Simplify y**(-22)*y*y**(-2/5) assuming y is positive. y**(-107/5) Simplify (v*v**(-4)/v*v**(2/47))**32 assuming v is positive. v**(-5952/47) Simplify i**(1/6)*i/(i*i**6/i)*i**(-1/11)/(i/(i/(i**0*i))) assuming i is positive. i**(-391/66) Simplify (c**(-1/3)/c*c**(2/3))/(c**(-4)*c**(2/9)) assuming c is positive. c**(28/9...
{ "pile_set_name": "DM Mathematics" }
-5*i. Suppose -44*f = -37*f - a. Solve -f*c + s - 1 + 4 = 0, c - s - 3 = 0 for c. 0 Suppose 2*y + 14 = 4*v, 5*y = 2*v - 3*v + 20. Suppose v*r = -2*m + 21, 3*m + 16 = 2*r - 0*r. Solve -5*i = 5*c + 45, r*c = 2*i - 14 + 4 for c. -4 Let b(p) be the third derivative of -p**4/24 + 7*p**3/6 - 16*p**2. Let i be b(0). Solve -3...
{ "pile_set_name": "DM Mathematics" }
st common divisor of m and 50. 10 Suppose 20 = y - 5*u, -60 = -3*y + u - 3*u. Suppose 5*p - 147 - 3 = 0. Calculate the greatest common divisor of y and p. 10 Let s = -264 + 159. Let b = s + 186. Calculate the highest common factor of 9 and b. 9 Let i = -10 + -330. Let j be (i/25)/(4/(-10)). Suppose 5*w - m - j = 0, -2*...
{ "pile_set_name": "DM Mathematics" }
*u**3 + 4191*u**2 + 9546*u + 4680 = 0. What is u? -1, -6/7, 13, 20 Find w, given that 529*w**2/2 - 477341816*w + 215364091968032 = 0. 20753992/23 Solve -v**4 + 1044*v**3 + 86540*v**2 - 3970656*v - 320517184 = 0. -68, 62, 1118 Let -f**3/6 - 11500*f**2/3 - 44637671*f/2 - 3177357339 = 0. Calculate f. -11427, -146 Find x s...
{ "pile_set_name": "DM Mathematics" }
ase 3 -2112221 Convert 77511 (base 8) to base 16. 7f49 Convert -2957 (base 11) to base 9. -5206 -2224 (base 15) to base 7 -30043 What is -c4 (base 14) in base 13? -103 Convert -10003 (base 4) to base 8. -403 Convert 32344 (base 7) to base 15. 25cd Convert 9ab3 (base 12) to base 9. 25440 Convert 15451 (base 6) to base 4...
{ "pile_set_name": "DM Mathematics" }
Convert -1 (base 12) to base 13. -1 -423 (base 6) to base 10 -159 What is -132 (base 4) in base 8? -36 What is -47 (base 8) in base 5? -124 -11110 (base 2) to base 4 -132 Convert -10 (base 15) to base 2. -1111 Convert 35 (base 15) to base 16. 32 -14 (base 15) to base 9 -21 What is 3 (base 4) in base 2? 11 Convert -110...
{ "pile_set_name": "DM Mathematics" }
57. -1698.6 Work out 1 * 26297. 26297 Multiply -0.079556 and -0.3. 0.0238668 Work out 232.194 * 0. 0 Multiply 4372611 and -0.5. -2186305.5 Work out -30 * 225. -6750 Product of -29698.2 and -5. 148491 What is the product of -0.3 and 20433? -6129.9 Multiply -63 and -3249. 204687 What is -1 times 411? -411 Multiply 0.4 an...
{ "pile_set_name": "DM Mathematics" }
there in three fifths of a microgram? 600 What is 29.6384 meters in kilometers? 0.0296384 How many years are there in three fifths of a millennium? 600 How many millilitres are there in 4.832467l? 4832.467 What is 3/50 of a kilogram in grams? 60 Convert 3766.134 hours to microseconds. 13558082400000 How many months are...
{ "pile_set_name": "DM Mathematics" }
)/((sqrt(36)*-1)/sqrt(12)) + sqrt(187)/(sqrt(396)*6) + -5. -5 - 35*sqrt(17)/36 Simplify ((sqrt(3264)/sqrt(3))**2 - (sqrt(170)*2)/sqrt(10)) + 6*((sqrt(170)*-1)/sqrt(10) + -2). -8*sqrt(17) + 1076 Simplify -6*(-3 + 0 + sqrt(1872) + 4)**2 - -4*((sqrt(468) + sqrt(468) + sqrt(468)*1*-1)**2 + -4). -9382 - 144*sqrt(13) Simplif...
{ "pile_set_name": "DM Mathematics" }
w*u**3 + i*u**2 and give x. -3 Express 2*b**3 + b**4 - 2*b + 0*b**4 + 1 - 6 - 2*b**2 - 3*b**3 in the form y*b**4 + h*b + r + l*b**2 + o*b**3 and give l. -2 Rearrange (21 + 2 + 6)*(1 + 2 - 1)*(2*p + p - 2*p) to the form i*p + t and give i. 58 Rearrange (-w**3 + 2*w - 2*w)*(-3 + 0 + 1) + 17*w**2 + 45*w**3 + 26*w**2 - 43*...
{ "pile_set_name": "DM Mathematics" }
common multiple of 35037 and 23358? 70074 Calculate the least common multiple of 17328 and 57. 17328 What is the least common multiple of 6 and 37248? 37248 Calculate the common denominator of -101/460 and -103/2806. 28060 Find the common denominator of -83/89100 and -73/4212. 1158300 What is the common denominator of...
{ "pile_set_name": "DM Mathematics" }
t z(q) be the third derivative of 191*q**7/210 + 169*q**5/60 - 2*q**3/3 + 88*q**2 + 3. What is the third derivative of z(h) wrt h? 4584*h Let x(v) be the third derivative of -145*v**8/168 + 953*v**5/60 - v**2 - 31. Find the third derivative of x(t) wrt t. -17400*t**2 Let n(d) = -5*d + 32. Let o be n(6). Find the second...
{ "pile_set_name": "DM Mathematics" }
/11)*q)/(q*q**(-25)) assuming q is positive. q**(-337/165) Simplify (w/(w/(w*w**(1/9))))/(w*w*w**8/w*w)*w*w**11*w*w*w**12/w*w assuming w is positive. w**(154/9) Simplify w**(-9/7)*w**(-1/5)*w*(w**7)**(10/7) assuming w is positive. w**(333/35) Simplify (f/(f**(-3)*f))**(7/6)*(f*(f**3*f*f)/f*f)/f*(f/(f/(f*f**(-1/5)))*f)/...
{ "pile_set_name": "DM Mathematics" }
= l. Let c(p) = -p - 7. Let o be c(-6). What is o*t(f) - g(f)? -3*f Let q(z) = 2*z**3 + 2*z**2 + 2*z + 2. Let d(f) = 6*f**3 + 7*f**2 + 7*f + 7. What is 6*d(a) - 21*q(a)? -6*a**3 Suppose 5*d = -51 + 6. Let l(x) = x**3 - 13*x**2 - 21. Let n(v) = 3*v**2 + 5. Calculate d*n(r) - 2*l(r). -2*r**3 - r**2 - 3 Let a(u) = 8*u - 3...
{ "pile_set_name": "DM Mathematics" }
multiple of 17? False Suppose 6*y = -123 - 33. Let w = 47 - y. Is 17 a factor of w? False Let w(p) = 7 + p + 3 - 7*p. Is w(-7) a multiple of 24? False Let d = 3 - 3. Suppose 5*r + 3*w - 35 = -13, -r - 5*w = d. Suppose 5 = a, 2*p - r*p + 7 = -a. Is 3 a factor of p? False Suppose v = -2*m + 12, 2*m = 6*m + 3*v - 26. Is ...
{ "pile_set_name": "DM Mathematics" }
z: 2, a: 1, u: 8, w: 4}. What is prob of picking 1 u and 1 a? 8/105 What is prob of picking 2 m and 2 w when four letters picked without replacement from wwwmwwwwmwww? 1/11 What is prob of picking 1 s and 1 v when two letters picked without replacement from vsoekokosoesekevoe? 2/51 What is prob of picking 2 i and 1 p w...
{ "pile_set_name": "DM Mathematics" }
ve z. 7 Express (1 + 1 - 3)*(2*o - 2*o + o) + 0*o + 0*o - 2*o + 2 - 2 - o + 0*o - 4*o - 2*o as p*o + v and give p. -10 Rearrange (0 - 1 + 4)*(-2 + 2*c**4 + 2) + 6*c**4 - c - 4*c**4 - 2*c to f + n*c + j*c**4 + b*c**3 + s*c**2 and give j. 8 Rearrange -20*r + 5*r**2 - 5*r**2 + 6*r + r**3 to the form u*r + m*r**2 + k + g*r...
{ "pile_set_name": "DM Mathematics" }
Solve a - 4*q = 11, a - 6*q + q - 15 = 0 for a. -5 Solve -19*g = -21*g - f + 7, g = f + 5 for g. 4 Solve -5*a = 2*f + 14, f - 6 = -f for a. -4 Solve -2*g + 6 = b - 0*g, -14 = -4*b - 3*g for b. 2 Solve 0 = 5*q - r + 23, -3*r + 17 = -2*q - 0 for q. -4 Solve -4*o + 16 = 0, 2*y + 2*o - 18 = -3*y for y. 2 Solve -2*s - s - 3...
{ "pile_set_name": "DM Mathematics" }
= -5*d + d + 1 - 11. Let o = 2 + 29. Let x = o + -38. Determine r(x). 18 Let k(m) = 5*m - 5. Suppose 4 = 2*s - 0. Let g(d) = 5*d + 8. Let v(b) = 5*b + 12. Let c(i) = 4*g(i) - 3*v(i). Let w(x) = s*k(x) - 3*c(x). Determine w(2). -8 Let p(v) = -v**3 + 8*v**2 - 7*v. Suppose 60 = -6*u + 2*u. Let t be (-9)/u + (-21)/(-15). L...
{ "pile_set_name": "DM Mathematics" }
Let d(c) = -154*c - 11401. What is d(-74)? -5 Let l(n) = 2*n**3 + 62*n**2 + 118*n + 69. Determine l(-29). 11 Let m(d) = 10*d**3 + d**2 - 3*d - 11. What is m(-2)? -81 Let r(l) = -32*l - 217. Calculate r(-3). -121 Let x(v) = -v**3 - 16*v**2 + 76*v + 608. Give x(-18). -112 Let t(p) = 78*p - 1328. Determine t(24). 544 Let ...
{ "pile_set_name": "DM Mathematics" }
= 3*t**2 + t - 1. Let v(y) be the second derivative of -y**4/12 + y**3/6 + 22*y + 2. Suppose -6 = -26*b + 20*b. Give b*q(u) - 3*v(u). 6*u**2 - 2*u - 1 Let f be (-10)/2 - (-6)/1. Let a(i) = 8*i**3 - 4*i + 3. Let r be a(f). Let d(g) = -10*g - 4. Let u(m) = 5*m + 2. What is r*u(t) + 4*d(t)? -5*t - 2 Let z(p) be the first ...
{ "pile_set_name": "DM Mathematics" }
common denominator of 11/111753 and -133/612? 7599204 Calculate the smallest common multiple of 13470 and 8. 53880 What is the common denominator of -85/6854124 and 22? 6854124 What is the smallest common multiple of 93456 and 3960? 467280 Calculate the common denominator of 13/593926 and -53/10. 2969630 What is the c...
{ "pile_set_name": "DM Mathematics" }
46, -5, 2/5, 7 Put -0.3, 0.1, 0, -2/49 in decreasing order. 0.1, 0, -2/49, -0.3 Sort -5, -4, 1, 20 in decreasing order. 20, 1, -4, -5 Sort 5, 0.05, 25.5 in decreasing order. 25.5, 5, 0.05 Sort 0, 233, -2, -1/3. -2, -1/3, 0, 233 Put 2, -2/17, -21 in descending order. 2, -2/17, -21 Sort -2, -1, 3, -1952, 1 in ascending o...
{ "pile_set_name": "DM Mathematics" }
421 minutes before 3:56 PM? 8:55 AM How many minutes are there between 8:24 AM and 10:59 AM? 155 How many minutes are there between 9:01 AM and 4:43 PM? 462 How many minutes are there between 4:03 PM and 3:57 AM? 714 What is 429 minutes before 10:32 PM? 3:23 PM What is 420 minutes after 8:07 AM? 3:07 PM What is 6 minut...
{ "pile_set_name": "DM Mathematics" }
e 1860 = 3*g - 0*v - 5*v, 0 = 2*g - v - 1247. Let t = -573 + g. What is the remainder when t is divided by 22? 8 Suppose 2847 = 5*w + 2*c - 1438, -2*w - 5*c = -1735. Suppose -703 = -2*b + x, -150 + w = 2*b + x. What is the remainder when b is divided by 51? 46 Let u = -5971 + 6941. What is the remainder when u is divid...
{ "pile_set_name": "DM Mathematics" }
4}. What is prob of sequence nnj? 25/546 Two letters picked without replacement from muxoxxu. Give prob of sequence xo. 1/14 Calculate prob of sequence hlli when four letters picked without replacement from {h: 2, i: 1, l: 2}. 1/30 Two letters picked without replacement from {z: 1, q: 2, g: 1}. What is prob of sequence...
{ "pile_set_name": "DM Mathematics" }
- i**3 + (0 - 5933*i + 7244*i + 0)*(-4 + 4 - 2*i)*(-i - 2*i + 2*i) to h + m*i**2 + d*i + r*i**3 and give r. 2621 Rearrange (-1087*s**2 - 945*s**2 + 941*s**2)*(2 + 2 + 0)*(-s + 2 - 2) to the form d + u*s + c*s**3 + v*s**2 and give c. 4364 Rearrange (-31 - 2 - 16)*(-4*a**2 + 4*a**2 + 4*a**2) + 2 - 5 + 2*a - 8 - 2*a**2 -...
{ "pile_set_name": "DM Mathematics" }
)/(-15))/((-11)/(-5)). Let g = 140 - r. Let s(t) = -75*t**2 - 2550*t - 5. Let i be s(-34). Which is the smallest value? (a) 0.05 (b) g (c) i c Suppose 88 = 4*n - q, 3*n = -23*q + 19*q + 66. Let k = 13 - 3. Let p be n/(-40) - k/40. Which is the third biggest value? (a) -5 (b) p (c) 4 a Let m = 0.903 + 0.097. Suppo...
{ "pile_set_name": "DM Mathematics" }
506 to 1 dp. 16 Round 482.811 to zero decimal places. 483 What is -1436664.7 rounded to the nearest one thousand? -1437000 Round -0.4266529 to four dps. -0.4267 What is 1.050078 rounded to one dp? 1.1 What is 0.000382405 rounded to 4 decimal places? 0.0004 What is 560553.5 rounded to the nearest one hundred? 560600 Wha...
{ "pile_set_name": "DM Mathematics" }
n -30629*l - 5*l**2 + l**2 + 30626*l + 2*l**2 - 4*l**2. -6*l**2 - 3*l Collect the terms in 29950 - 3*j**3 - 29950. -3*j**3 Collect the terms in -2083915*l**2 + 1 + 2083917*l**2 + 2 - 3. 2*l**2 Collect the terms in 36750*g - 36750*g + 3044*g**3. 3044*g**3 Collect the terms in 5473*j + 3*j**2 - 5473*j + 226. 3*j**2 + 226...
{ "pile_set_name": "DM Mathematics" }
- 3 Find the first derivative of -929*n**4 - 961. -3716*n**3 What is the third derivative of -h**4*l**2 - 586*h**4 + 8*h**2*l**2 - 16*h**2*l - h wrt h? -24*h*l**2 - 14064*h Find the third derivative of -787*s**3 - s**2 + 136. -4722 Differentiate 117*k**4 - 13*k + 3008 wrt k. 468*k**3 - 13 Find the third derivative of ...
{ "pile_set_name": "DM Mathematics" }
e 12) in base 11? -a Convert 1a (base 12) to base 11. 20 What is -321 (base 4) in base 6? -133 -10200 (base 3) to base 11 -90 2 (base 6) to base 15 2 11 (base 2) to base 14 3 -4 (base 15) to base 13 -4 What is -1010 (base 2) in base 11? -a Convert 1 (base 14) to base 15. 1 Convert a (base 16) to base 10. 10 10 (base 2)...
{ "pile_set_name": "DM Mathematics" }
housands digit of 163653199? 6 What is the thousands digit of 258259644? 9 What is the tens digit of 133544162? 6 What is the hundred thousands digit of 124831223? 8 What is the ten millions digit of 325688739? 2 What is the hundred thousands digit of 20033245? 0 What is the hundreds digit of 124319755? 7 What is the m...
{ "pile_set_name": "DM Mathematics" }
. Calculate the common denominator of t and 25/7. 7 What is the common denominator of 64/3 and (-1*1)/(48/(-1752))? 6 Let u = -2596935/7 + 369029. Let j = -1958 - u. Calculate the common denominator of j and ((-4)/66)/(14/21). 77 Let u = -59/2 + 403/14. What is the common denominator of u and 30/7? 7 Let n = -17 + 25. ...
{ "pile_set_name": "DM Mathematics" }
= 0. -1/2, 0, 10 Factor 4*r**4 + 84*r**3 - 96*r**2 - 176*r. 4*r*(r - 2)*(r + 1)*(r + 22) Factor -9*w**3/5 - 66*w**2/5 - 15*w - 18/5. -3*(w + 1)*(w + 6)*(3*w + 1)/5 Determine s, given that 5*s**3 + 480*s**2 + 11520*s = 0. -48, 0 Determine a so that -3*a**4/7 - 18*a**3 + 129*a**2/7 = 0. -43, 0, 1 Find b, given that 4*b**...
{ "pile_set_name": "DM Mathematics" }
actors of ((-5)/10)/(d/22)? 11 Let c(o) = -o**3 + 8*o**2 + 12*o - 5. List the prime factors of c(9). 2, 11 Let k(v) = v**2 + 5*v - 9. Let w be k(-8). Suppose -17 = -4*n + w. What are the prime factors of n? 2 Let f = 2 - 2. Let b(s) = -s**2 - s - 48. Let t be b(f). What are the prime factors of t/(-5) - 2/(-5)? 2, 5 Li...
{ "pile_set_name": "DM Mathematics" }
e s*a - 6 - 14 = 0. Calculate the greatest common factor of 2 and a. 2 Let n(d) = -d + 19. Let l be n(0). Let v be 8 + -5 + 6/(-2). Suppose -7*i + 4*i + 285 = v. Calculate the highest common factor of l and i. 19 Let c be (2 - 3)/(5/1020*-3). What is the highest common factor of c and 34? 34 Let c be (-9)/2 - 4/(-8). L...
{ "pile_set_name": "DM Mathematics" }
13/24*b**4 - 3/56*b**8 + 0*b**5 + 0*b + 0*b**7. Find the second derivative of n(k) wrt k. -360*k**3 Let g be (-3)/1*10/(-15) + 9. Find the second derivative of 5*s - g*s**5 + 19*s**5 - s wrt s. 160*s**3 Let s(n) = 285*n**3 + 5*n**2 + 5*n - 432. Let q(z) = -143*z**3 - 2*z**2 - 2*z + 215. Let x(u) = 5*q(u) + 2*s(u). Wha...
{ "pile_set_name": "DM Mathematics" }
0*n + 0 - 1/120*n**b - 7/24*n**4 - 1/12*n**5 - 1/2*n**3. Factor f(l). -(l + 1)**2*(l + 3) Suppose 129*b + 4 = 2*o + 133*b, 10 = 5*o - 4*b. Factor -90 + 30*v - 5/2*v**o. -5*(v - 6)**2/2 Solve 0 - 52/5*y**3 + 0*y + 48/5*y**4 + 4/5*y**5 + 0*y**2 = 0. -13, 0, 1 Let q(l) = -l**3 + 55*l**2 + 4*l - 4. Let j(f) = -55*f**2 - 5*...
{ "pile_set_name": "DM Mathematics" }
vided by j(-3)? 7 Suppose -7*v - 1495 = -12*v. Calculate the remainder when v is divided by 60. 59 What is the remainder when (250/4)/((-2)/(-4)) is divided by 32? 29 Let t be 3/(-4) - (-1)/(-4). Suppose -u = -2 - 12. What is the remainder when u is divided by t + -2*(-1 - 2)? 4 Let y(w) = -w**2 - 21*w - 32. Calculate ...
{ "pile_set_name": "DM Mathematics" }
second derivative of 0 - 5*x + 0*x**3 + 3/10*x**5 + 0*x**4 - 3/2*x**2. Differentiate a(w) with respect to w. 18*w**2 Suppose -5*b + 3 = -2*w - 4, -4*w + 2*b + 10 = 0. Suppose 6*t = w*t. What is the second derivative of 0 - 2*i**2 + t - i wrt i? -4 Let x be 0/(-4 - -2) - -3. Let t be 4/18 - 80/(-45). What is the third d...
{ "pile_set_name": "DM Mathematics" }
- 127407*z**2 + 382215*z**2. 2*z**2 Collect the terms in -30*v**3 + 0 + 62*v**3 - 31*v**3 + 1. v**3 + 1 Collect the terms in 4 - 16179*r**2 - 4 + 0. -16179*r**2 Collect the terms in -47*t**3 + 66*t**3 - 5 + 2 + 3. 19*t**3 Collect the terms in 2724*m - 1361*m + 3 - 1388*m. -25*m + 3 Collect the terms in 1 + 0 + 20*c - 2...
{ "pile_set_name": "DM Mathematics" }
-5 -2 divided by 3 -2/3 Divide 2358 by -9. -262 Divide -35 by -3. 35/3 Divide -4699 by 37. -127 What is -6 divided by 40? -3/20 Calculate -12 divided by -110. 6/55 Divide -9 by -276. 3/92 -5 divided by 66 -5/66 36850 divided by 5 7370 -658 divided by 2 -329 -198 divided by -18 11 Divide -41290 by 2. -20645 41380 divid...
{ "pile_set_name": "DM Mathematics" }
be g(5). Solve r = -l*n + 6*n for n. -2 Let c be 18/90 + 14/5. Suppose -3*g + 18 = 3*v, 0*v + c*v = 4*g + 11. Solve 0*k - v = -k for k. 5 Suppose -9*l = -13*l - 24. Let n be (-8)/l - 20/60. Let r be -3 - (5/10 - (-30)/(-4)). Solve r*g - 7 = n for g. 2 Let s = 34 + -31. Let h be s/(-5) - (-3924)/90. Let z = 45 - h. Solv...
{ "pile_set_name": "DM Mathematics" }
? 5/3 Let f be ((-8)/(-30))/((-4)/10). Suppose -h = -3*h + 2*z + 12, -5*h - 3*z + 22 = 0. Let k be 35/(-25) - (-2)/h. What is the second biggest value in k, f, 1/2? f Suppose 0 = -x - 0 + 1. Suppose 2*v + x + 3 = 0. Let u be v - (-2 - (-2)/(-14)). Which is the third biggest value? (a) -1/6 (b) 0.1 (c) u a Let u = 39...
{ "pile_set_name": "DM Mathematics" }
**3 - 3*v + ((1 - 1 + 2)*(3 + 5 - 2) + 2 + 0 + 0 + 2 - 11 - 11)*(v**3 + 2*v**3 - v**3). -14*v**3 Expand (0 + 0 + 2*w**2)*(1 - 6 + 3) + (5 - 3 - 4)*(-2*w + 4*w - 3*w)*(3*w + 4*w - 5*w)*(81 + 135 - 141). 296*w**2 Expand (2*d**2 - 4*d**2 + 3*d**2)*(-2 + 2 + 2)*(24 + 18 + 63 + 0 - 3 + 1 + (5 - 4 - 2)*(-4 - 1 + 3)). 210*d**...
{ "pile_set_name": "DM Mathematics" }
6944, 6951, 6960, 6971, 6984, 6999? 7016 What comes next: 31, -6, -69, -158, -273, -414? -581 What comes next: 1, 12, 33, 64, 105, 156, 217? 288 What comes next: 11, 14, 5, -16? -49 What comes next: 157, 653, 1473, 2611, 4061, 5817? 7873 What is next in 985, 1971, 2957, 3943, 4929? 5915 What comes next: -28, -135, -32...
{ "pile_set_name": "DM Mathematics" }
4. Give y(h(w)). -20*w**4 Let p(b) = -165 + 86 - 4*b + 79. Let k(v) = -1 + v + 1. Give k(p(x)). -4*x Let t(s) = 6*s. Suppose 3*f + 10 = 8*f. Let d(q) = -3*q**2 + 5*q**f + 0 + 0. Calculate t(d(l)). 12*l**2 Let c(u) = -u**2. Let o(a) = -954*a**2 - 4. Determine c(o(i)). -910116*i**4 - 7632*i**2 - 16 Let w = 4 - 2. Let f ...
{ "pile_set_name": "DM Mathematics" }
+ 5*o(g). Determine y(p(h)). 4*h**2 Suppose 5*f = -0*f + 15. Let g(b) = -3*b - b**2 + f*b. Let p(w) = -2*w**2. Determine g(p(i)). -4*i**4 Let w(f) = -2*f. Let z(r) = -3535*r. Calculate z(w(q)). 7070*q Let s be 6*(3/(-2) + 2). Suppose 5*h - 25 = -s*b, b + 18 = 4*h + 3*b. Let x(v) = -4*v**h + 7*v**2 - 2*v**2. Let f(z) =...
{ "pile_set_name": "DM Mathematics" }
41 rounded to six dps? 0.00001 Round 12331.3 to the nearest 10. 12330 What is 28.379 rounded to the nearest ten? 30 What is -0.00000057818 rounded to 7 dps? -0.0000006 What is 0.928 rounded to 2 decimal places? 0.93 Round -0.000009302 to six dps. -0.000009 What is -1148.4 rounded to the nearest 100? -1100 Round 7595.2 ...
{ "pile_set_name": "DM Mathematics" }
-3, n. -3, 1, n Let v = -41 + 40.99. Put -2, v, 1/2, -1/6 in ascending order. -2, -1/6, v, 1/2 Let r(u) = u**2 - 8*u + 9. Let t be r(7). Suppose -t*s + 1 - 9 = 0. Let y = s + 3. Put y, 5, 4 in descending order. 5, 4, y Let p(q) = 2*q**2 - 12*q + 15. Let g be p(5). Put 3, -4, -2, g in ascending order. -4, -2, 3, g Let ...
{ "pile_set_name": "DM Mathematics" }
t q be 0 + -2 + 0 - -8. Suppose -b = 3*u + q, -u - 10 = b + 4*u. Suppose -18 = -2*p + 4*m, 0*p - 4*p + 2*m + 18 = b. What is the units digit of p? 3 Suppose y = 4*n - 98 - 228, -322 = -4*n + 3*y. What is the units digit of n? 2 What is the units digit of (120/(-25))/((-4)/30)? 6 Suppose -2 = f - 0*f. What is the units ...
{ "pile_set_name": "DM Mathematics" }
1*(a*a/(a*a**3))/a**(-2/5)*(a**(-1))**44/(a*a*a**(-3)*a**(-1)) assuming a is positive. a**(-44) Simplify (t*t**(4/5))/t**(1/9)*((t/((t/(t/t**(-3/5)*t))/t))/t)/t*t**(4/3)*(t**(-2)*(t**9*t)/t)**(1/8) assuming t is positive. t**(1979/360) Simplify (q**(-1/2))**(2/21)*q**3/q*(q*q*q*q**(-2/5)/q)/q*((q/q**(2/3))**(-1/3))**(-...
{ "pile_set_name": "DM Mathematics" }
16310/(-350) + 7 + 41? 7/5 (-2)/(-1) - 18 - ((-115)/(-46) + 9/(-6)) -17 Calculate 204/(-459) + ((-3477)/(-1080) + 24/40 - 6). -21/8 What is the value of (11571/(-608) + 19)/((-147)/(-441))? -3/32 Evaluate (6/(-32))/(-3)*((-478)/717)/((-11)/(-3)). -1/88 Evaluate (188/30597)/(10*9/(-135)). -2/217 What is the value of (-...
{ "pile_set_name": "DM Mathematics" }
, 0.2? -0.1 What is the third smallest value in 4/7, 0.1, 34? 34 What is the third smallest value in -1, 333, 2/7? 333 Which is the third biggest value? (a) -18/17 (b) 128 (c) -3/2 (d) 4 (e) -2/13 e What is the second biggest value in 3/4, 2/7, -82, 1? 3/4 What is the fifth smallest value in -5, 97/2, 0.2, 0, 1? 9...
{ "pile_set_name": "DM Mathematics" }
82317923. 3, 20257547 What are the prime factors of 6778540933? 23, 37, 346321 List the prime factors of 3309436260. 2, 3, 5, 13, 59, 23971 List the prime factors of 270668454. 2, 3, 7, 920641 What are the prime factors of 18511945? 5, 3702389 List the prime factors of 56144955. 3, 5, 23, 162739 What are the prime fact...
{ "pile_set_name": "DM Mathematics" }
t. 26 Solve 35*p + 46 = 30 + 121 for p. 3 Solve 140*t + 468 = 82*t + 84*t for t. 18 Solve 880 = -178*t + 98*t for t. -11 Solve -9*r + 32804 = -65*r + 34372 for r. 28 Solve 69*z + 1118 = 155*z for z. 13 Solve 190*w = -94*w - 42*w - 7824 for w. -24 Solve -495*j - 1355 + 4820 = 0 for j. 7 Solve -39*r = 12*r for r. 0 Solv...
{ "pile_set_name": "DM Mathematics" }
c**(-1/3)*c/(c/((c/(c**(-3/4)*c))/c)*c)*(c**(-2))**(6/17)) assuming c is positive. c**(402769/15300) Simplify ((j**(1/4)*j*j)**25*((j**0*j)/j)**(-3))/((j**5/((j**(2/13)/j)/j))/(j**1)**17) assuming j is positive. j**(3453/52) Simplify ((o**(3/5)/o*o)/(o*o**(2/19)*o))**(-4/9)*(((o**(-1/6)*o)/o)/((o/o**(1/2))/o))/(o*o/(((...
{ "pile_set_name": "DM Mathematics" }
s 2639 + 34? 2673 In base 9, what is 2 - -11152? 11154 In base 9, what is -4 - -2028228? 2028224 In base 10, what is 6626 - 62? 6564 In base 7, what is 154 + 1310? 1464 In base 2, what is -10011011 + 10110? -10000101 In base 5, what is 131130 + 211? 131341 In base 7, what is 313214 - 4? 313210 In base 4, what is 230 - ...
{ "pile_set_name": "DM Mathematics" }
? 2/5 Let v = -2 + 8. Suppose p - 2*o - 3 = 1, -p + 3*o = -v. Let r = 711 + -713. Is p not equal to r? True Suppose -8*d - 2216 = -0*d. Is d bigger than -2? False Let h be (-552)/(-4 + -8) + 2*1. Is h greater than 49? False Let v = 0.43 + -0.21. Let m = -0.9 + -0.1. Do v and m have different values? True Let y = 1435 -...
{ "pile_set_name": "DM Mathematics" }
ia. 4287.133 Convert 192361.905ns to days. 0.0000000022264109375 Convert 782.0668 tonnes to kilograms. 782066.8 How many micrometers are there in 15/4 of a centimeter? 37500 What is 18/5 of a century in years? 360 How many months are there in fifty-two fifths of a century? 12480 What is 61.88179 days in microseconds? 5...
{ "pile_set_name": "DM Mathematics" }
25*b/2 - 5 = 0. What is b? -1, 2 Factor -10*k**2/19 - 58*k/19 - 40/19. -2*(k + 5)*(5*k + 4)/19 Factor z**2/2 - 101*z/2. z*(z - 101)/2 Let m**4/5 + 4*m**3 - m**2/5 - 4*m = 0. Calculate m. -20, -1, 0, 1 Factor -3*s**4 + 9*s**3 + 48*s**2 + 36*s. -3*s*(s - 6)*(s + 1)*(s + 2) Find n, given that -5*n**4 + 5*n**2 = 0. -1, 0,...
{ "pile_set_name": "DM Mathematics" }
iate 28631*b*g**2 - b*g + b - 457375*g**2 wrt b. 28631*g**2 - g + 1 Find the third derivative of 381883*a**3*f**3 + 8*a**2*f**3 + 546*a**2*f**2 - a**2 - 4*a*f**3 wrt a. 2291298*f**3 Find the first derivative of -2*b**3*d**3 + 4*b**3*d - 34*b**3*t**2 + 814*b*d**3*t**2 + 2*b*d**2 wrt t. -68*b**3*t + 1628*b*d**3*t What is...
{ "pile_set_name": "DM Mathematics" }
*5 + 101*v - 5*v**3 + 11*v + 25*v**5)*(-1 + 1 - 5). 10*v**5 + 25*v**3 - 560*v Expand (15*i - 2*i + 9*i)*(3*i + 0*i - i) + (-11*i**2 + 2*i**2 + 3*i**2)*(3 + 3 - 7) + 7*i**2 - 2*i**2 - 3*i**2. 52*i**2 Expand (-2*f**3 - 5*f**3 + 5*f**3)*((-3*f + 5*f - 4*f)*(-3 + 2 - 1) - f - 3*f + 6*f + 21*f - 7*f - 13*f). -14*f**4 Expand...
{ "pile_set_name": "DM Mathematics" }
g be v(t). Suppose 0 = -5*o + 4*u + 799, 6*u - 4*u + 2 = g. List the prime factors of o. 3, 53 Let t = 4365 - 2868. What are the prime factors of t? 3, 499 Let g = -77 + 28. Let w = 53 + g. Suppose -w*p - 186 = -6*p + 2*s, 2*s - 170 = -2*p. List the prime factors of p. 89 Let s(m) be the second derivative of -9*m**3/2...
{ "pile_set_name": "DM Mathematics" }
84 Simplify -1 + ((-2*2*sqrt(102) + (sqrt(102) + sqrt(102)*1)*3)*2)/((sqrt(36) + sqrt(5184)*-1 - sqrt(36))/(sqrt(294) + 1*sqrt(294) - sqrt(294) - sqrt(6))). -2*sqrt(17) - 1 Simplify (-2 + 5*-1*(sqrt(405) - (sqrt(405) + sqrt(405) + -1))*-1)**2*-4 + 5 + 4. -40527 + 1080*sqrt(5) Simplify (1*((1 + (sqrt(931)*-2 - sqrt(931)...
{ "pile_set_name": "DM Mathematics" }
-43398, -54212, -65012? 7*d**2 - 10877*d - 2 What is the f'th term of -147927, -147935, -147933, -147915, -147875, -147807, -147705, -147563? f**3 - f**2 - 12*f - 147915 What is the x'th term of 7013, 7052, 7079, 7088, 7073, 7028, 6947? -x**3 + 46*x + 6968 What is the w'th term of -1374, -2759, -4138, -5511? 3*w**2 - 1...
{ "pile_set_name": "DM Mathematics" }
(-3) + 1 - 2485/1065. Sort -5, -11, 31, p in increasing order. -11, -5, p, 31 Let l(z) = -10*z + 79. Let q be l(8). Suppose 0 = -4*v + 20, -18*v - 238 = 2*t - 16*v. Put t, 2, -3, q in decreasing order. 2, q, -3, t Let k = 19728 + -32907. Sort -1, k, -3 in increasing order. k, -3, -1 Let p = 26 - 25.94. Let l = -0.14 - ...
{ "pile_set_name": "DM Mathematics" }
- 28*a for n. 4 Solve 2 = -5*t - 3*r - 4, -2*t - 65*r = -70*r - 10 for t. 0 Solve 2*y = -i + 3, 3*y + i = 38*y - 71 for y. 2 Solve -3*s = 2*x + 10, s + 502 = 4*x + 522 for s. 0 Solve -3*k - i = 16, -171*k + 5*i = -176*k - 50 for k. -3 Solve -4*v = 3*p - 28, -3*v + 161*p - 164*p + 24 = 0 for v. 4 Solve 4 = m - 3*a, -37*...
{ "pile_set_name": "DM Mathematics" }
ion? -2232000000 Round -10004.667 to zero decimal places. -10005 What is -0.000311 rounded to 6 decimal places? -0.000311 Round -17.54224 to two dps. -17.54 Round -207.154 to zero decimal places. -207 What is -0.00411518 rounded to 6 decimal places? -0.004115 Round 0.000020770015 to six dps. 0.000021 Round -0.000580434...
{ "pile_set_name": "DM Mathematics" }
*-1)**2*3. 4320*sqrt(3) + 291648 Simplify (sqrt(95)/(sqrt(5) - sqrt(80) - sqrt(5)))**2*-4 - ((sqrt(684)/sqrt(108))/sqrt(3))**2 - (sqrt(513)*1)/(1*sqrt(48)). -247/36 - 3*sqrt(19)/4 Simplify (4*(sqrt(833)*-4 + 4 + -6*(3 + sqrt(833)))*-3)**2 + 0. 282240*sqrt(17) + 12023424 Simplify 4*(sqrt(234)*4 - (sqrt(234) + 1*sqrt(234...
{ "pile_set_name": "DM Mathematics" }
*a. Put m, a, 1 in ascending order. m, a, 1 Let d = 52 - -49.5. Let m = d - 102. Suppose 0 = -v, 2*v = -4*j - 9 - 7. Put 5, m, j in ascending order. j, m, 5 Let a = -0.012 - -0.512. Sort -0.3, 5/2, -5, a in decreasing order. 5/2, a, -0.3, -5 Suppose -5*l = -3*i - 60 - 18, 4*l - 62 = 2*i. Let b be (12/20)/(3/l). Suppose...
{ "pile_set_name": "DM Mathematics" }
99449169 prime? False Is 64755258619 prime? True Is 263324169191 composite? False Is 43280518579 a composite number? True Is 614429059 prime? False Is 12109719133 a composite number? True Is 224077153173 a composite number? True Is 1825948783 prime? True Is 358792961 a prime number? True Is 32461364849 a prime number? ...
{ "pile_set_name": "DM Mathematics" }
986/3) Simplify (p/(p**(1/5)*p))/p**(-1/18)*(p/((p/p**(3/5))/p))/(p/(((p*((p/(p*p**(-11)*p))/p)/p*p)/p)/p)) assuming p is positive. p**(761/90) Simplify (m/(m**(1/14)/m))/(m**(-6)/m)*(m/m**20)/m*m*m/((m*((m/(m*m*m/m**15))/m)/m)/m)*m assuming m is positive. m**(-267/14) Simplify ((l/(l/(l/(l/(l*l**(-1/7)*l)*l)))*l)/((l*...
{ "pile_set_name": "DM Mathematics" }
se -i + 4*z + 50 = 3*z, -4*i - 4*z + 192 = 0. Let a = i - -16. What is the tens digit of a? 6 Let a(c) = -c**3 + 4*c**2 + 13*c - 3. Let p = 46 - 40. What is the units digit of a(p)? 3 Let i(w) = w**2 + 3*w. Let j be i(-11). What is the tens digit of j*1 + (-16)/4? 8 Let g(a) = 2*a**2 - 3*a - 3. Let v be g(-1). Suppose ...
{ "pile_set_name": "DM Mathematics" }